Solve each equation by completing the square. If necessary, round to the nearest hundredth.
x 2 + 4 x + 3 = 0
To solve : the equation by completing the square
The solution of the equation is x=−1,−3
Given information :
The equation is
x2+4x+3=0
Calculation :
The solution of the equation is
x2+4x+3=0x2+4x+4=−3+4x2+2⋅x⋅2+(2)2=1(x+2)2=1(x+2)=±1x+2=±1x=−2±1x=−1,−3
Hence, the solution of the equation is x=−1,−3 .
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